Sufficient Conditions for Dynamic Stabilization of 3-State Moore-Greitzer Compressor Model

Summary, in English

We consider the classical 3-state Moore-Greitzer

model, which is commonly used for approximating dynamics of

deviations of flow and pressure variables in an axial compressor

from their nominal steady-state values. The linearization of the

nonlinear system is not controllable and, therefore, even local

asymptotic stability cannot be achieved using methods of linear

control theory. We propose a family of parametrized partial-

state feedback control laws and derive sufficient conditions to

guarantee global asymptotic stability of the closed-loop system.

The stability analysis uses the integral quadratic constraints

technique for the case of non-strict frequency condition and

novel arguments for characterization of ω-limit sets.

• Author: Anton Shiriaev; Leonid Freidovich; Anders Robertsson; Alina Andersson; Rolf Johansson
• Department/s: Department of Automatic Control; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publishing year: 2016
• Language: English
• Pages: 4393-4399
• Publication/Series: 2015 54th IEEE Conference on Decision and Control (CDC) Date of Conference:
• Document type: Conference paper
• Publisher: IEEE - Institute of Electrical and Electronics Engineers Inc.
• Topic: Control Engineering
• Conference name: IEEE 54th Annual Conference on Decision and Control (CDC)
• Conference date: 2015-12-15
• Conference place: Osaka, Japan
• Status: Published
• Project: Active Control 2013-2015
• Research group: ELLIIT; LCCC
• ISBN/ISSN/Other: ISBN: 978-1-4799-7884-7